Finding the Fourth Proportional to 6,451.88, 8,905.50 and 4,214.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,451.88 : 8,905.50 = 4,214.10 : x
2. Step 2: Convert to fraction form
   6,451.88/8,905.50 = 4,214.10/x
3. Step 3: Cross multiply
   6,451.88x = 8,905.50 × 4,214.10
4. Step 4: Simplify right side
   6,451.88x = 37,528,667.55
5. Step 5: Solve for x
   x = 37,528,667.55/6,451.88
6. Step 6: Final answer
   x = 5,816.70